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Finding the Fourth Proportional to 3,751.66, 5,629.29 and 1,803.34

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Solution

The fourth proportional to 3,751.66, 5,629.29 and 1,803.34 is: 2,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.66 : 5,629.29 = 1,803.34 : x
  2. Step 2: Convert to fraction form
    3,751.66/5,629.29 = 1,803.34/x
  3. Step 3: Cross multiply
    3,751.66x = 5,629.29 × 1,803.34
  4. Step 4: Simplify right side
    3,751.66x = 10,151,523.83
  5. Step 5: Solve for x
    x = 10,151,523.83/3,751.66
  6. Step 6: Final answer
    x = 2,705.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.